Complete the point-slope equation of the line through (8,-8) and (9,8)

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.

Vinvika [58]

Answer:

The point estimate for population mean is 8.129 Mpa.

Step-by-step explanation:

We are given the following in the question:

Data on flexural strength(MPa) for concrete beams of a certain type:

11.8, 7.7, 6.5, 6.8, 9.7, 6.8, 7.3, 7.9, 9.7, 8.7, 8.1, 8.5, 6.3, 7.0, 7.3, 7.4, 5.3, 9.0, 8.1, 11.3, 6.3, 7.2, 7.7, 7.8, 11.6, 10.7, 7.0

a) Point estimate of the mean value of strength for the conceptual population of all beams manufactured

We use the sample mean, $\bar{x}$ as the point estimate for population mean.

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$\bar{x} = \dfrac{\sum x_i}{n} = \dfrac{219.5}{27} = 8.129$

Thus, the point estimate for population mean is 8.129 Mpa.

4 0

3 years ago

A blue jay lives in a nest that is 12 meters high in a tree the blue jay flies 15 meters to get from its nest to a flower on the

Ivan

Answer:

The distance between the base of the tree and the flower is 9m

Step-by-step explanation:

Here, we have to paint a picture.

The flower is on the ground, the height of the tree is 12m.

The distance from the nest to the flower on the floor is 15m

Indisputably, what we have is a right angled triangle, with the height being 12m, the length of the hypotenuse being 15 and we are asked to calculate the adjacent which represents the distance from the base of the tree to the flower

To get this distance, we simply apply the Pythagoras’ theorem which states that the square of the hypotenuse(longest side of the triangle) is equal to the sum of the squares of the other two sides.

Thus mathematically, we know that our hypotenuse is 15m and the height is 12m

The length we are to calculate is the adjacent and it is equal to;

15^2 - 12^2

= 225 - 144

= 81

The length is thus

√(81) = 9m

Please check attachment for a diagrammatic picture of the triangle

8 0

3 years ago

Question 4......................

svp [43]

I would be the last answer because the h of hours would be multiply by 5.

8 0

3 years ago

And show me how to do the number line

ale4655 [162]

The answer would be C. This is because the larger the negative numbers get, the less value they have, so -8 would have a greater value than -9.

6 0

3 years ago

claim: the mean pulse rate (in beats per minute) of adult males is equal to 69 bpm. for a random sample of 140 adult males,

zaharov [31]

Answer:

93.19%

Step-by-step explanation:

We have that the mean (m) is equal to 70.4, the standard deviation (sd) 11.1 and the sample size (n) = 140

They ask us for P (x =69)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (69 - 70.4) / (11.1 / (140 ^ (1/2)))

z = 1.49

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <1.49) = 0.9319

The probability is 93.19%

8 0

3 years ago